Solve the system of equations by substitution ×+y=44 y=10x

X + y = 44
y = 10x

To solve this system by substitution, substitute 10x for y into the top equation.

        x + y = 44
    x + 10x = 44
          11x = 44
              x = 4

To find y, substitute 4 for x into either of the original equations; I'll use the bottom equation.

    y = 10x
    y = 10(4)
    y = 40

Lastly, substitute the x- and y-values into both original equations to check work.

      x + y = 44
    4 + 40 = 44
          44 = 44

            y = 10x
          40 = 10(4)
          40 = 40

x = 4; y = 40

(4, 40)